WeierstrassE1

WeierstrassE1[{g2,g3}]

gives the value e1 of the Weierstrass elliptic function at the half-period TemplateBox[{{g, _, 2}, {g, _, 3}}, WeierstrassHalfPeriodW1].

Details

  • Mathematical function, suitable for both symbolic and numerical manipulation.
  • WeierstrassE1 can be evaluated to arbitrary numerical precision.

Examples

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Basic Examples  (3)

WeierstrassE1 represents the value of WeierstrassP at its first half-period ω1:

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Evaluate numerically:

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Plot the real and imaginary parts of the e1:

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Scope  (3)

Properties & Relations  (3)

See Also

WeierstrassHalfPeriodW1  WeierstrassP  WeierstrassE2  WeierstrassE3

Introduced in 2017
(11.2)